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Finding the Fourth Proportional to 891.73, 1,338.51 and 648.73

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Solution

The fourth proportional to 891.73, 1,338.51 and 648.73 is: 973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.73 : 1,338.51 = 648.73 : x
  2. Step 2: Convert to fraction form
    891.73/1,338.51 = 648.73/x
  3. Step 3: Cross multiply
    891.73x = 1,338.51 × 648.73
  4. Step 4: Simplify right side
    891.73x = 868,331.59
  5. Step 5: Solve for x
    x = 868,331.59/891.73
  6. Step 6: Final answer
    x = 973.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.